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feat(inner_product_space/positive): defines square root of a linear map #18779

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feat(inner_product_space/positive): defines square root of a linear map #18779

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@themathqueen themathqueen commented Apr 9, 2023 •
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this pr:

  • defines the positive square root of a positive linear map
  • proves T.is_positive iff ∃ S, S.adjoint * S = T

(moved from #18230)

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@themathqueen themathqueen added blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. t-analysis Analysis (normed *, calculus) labels Apr 9, 2023
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This PR/issue depends on:

@themathqueen themathqueen added the awaiting-review The author would like community review of the PR label Apr 10, 2023
@eric-wieser eric-wieser added the not-too-late This PR was ready at the point mathlib3 was frozen: we will try to merge it and port it to mathlib4 label Jul 15, 2023
@j-loreaux j-loreaux added not-ready-to-merge and removed awaiting-review The author would like community review of the PR not-too-late This PR was ready at the point mathlib3 was frozen: we will try to merge it and port it to mathlib4 labels Jul 26, 2023
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See https://leanprover.zulipchat.com/#narrow/stream/144837-PR-reviews/topic/!3.2318779 for why I changed the tags.

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